A news article that you read stated that 58% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 150 of the 300 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?   Interpret the p-value in the context of the study. If the population proportion of voters who prefer the Democratic candidate is 58% and if another 300 voters are surveyed then there would be a 0.25% chance fewer than 50% of the 300 voters surveyed prefer the Democratic candidate. If the sample proportion of voters who prefer the Democratic candidate is 50% and if another 300 voters are surveyed then there would be a 0.25% chance of concluding that fewer than 58% of all voters surveyed prefer the Democratic candidate.  There is a 58% chance of a Type I error. There is a 0.25% chance that fewer than 58% of all voters prefer the Democratic candidate. Interpret the level of significance in the context of the study. There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller 58%. There is a 5% chance that the earth is flat and we never actually sent a man to the moon. If the proportion of voters who prefer the Democratic candidate is smaller 58% and if another 300 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 58%. If the population proportion of voters who prefer the Democratic candidate is 58% and if another 300 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller 58%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

A news article that you read stated that 58% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 150 of the 300 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?

 

  1. Interpret the p-value in the context of the study.
    • If the population proportion of voters who prefer the Democratic candidate is 58% and if another 300 voters are surveyed then there would be a 0.25% chance fewer than 50% of the 300 voters surveyed prefer the Democratic candidate.
    • If the sample proportion of voters who prefer the Democratic candidate is 50% and if another 300 voters are surveyed then there would be a 0.25% chance of concluding that fewer than 58% of all voters surveyed prefer the Democratic candidate.
    •  There is a 58% chance of a Type I error.
    • There is a 0.25% chance that fewer than 58% of all voters prefer the Democratic candidate.
  2. Interpret the level of significance in the context of the study.
    • There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller 58%.
    • There is a 5% chance that the earth is flat and we never actually sent a man to the moon.
    • If the proportion of voters who prefer the Democratic candidate is smaller 58% and if another 300 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 58%.
    • If the population proportion of voters who prefer the Democratic candidate is 58% and if another 300 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller 58%
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman